The Margolis homology of the cohomology restriction from an extra-special group to its maximal elementary abelian subgroups

IF 0.8 4区数学 Q2 MATHEMATICS Homology Homotopy and Applications Pub Date : 2024-03-20 DOI:10.4310/hha.2024.v26.n1.a11

Ngô A. Tuân

引用次数: 0

Abstract

Let $p$ be an odd prime and let $M_n$ be the extra-special $p$-group of order$p^{2n+1} (n \geqslant 1)$ and exponent $p^2$. We completely compute the $\mod p$ Margolis homology of the image ImRes $(A, M_n)$ for every maximal elementary abelian $p$-subgroup $A$ of $M_n$.

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从特外群到其最大基本无性子群的同调限制的马格里斯同调

让 $p$ 是奇素数，让 $M_n$ 是阶为 $p^{2n+1} (n ≥geqslant 1)$ 且指数为 $p^2$ 的特殊 $p$ 群。我们将完全计算 $M_n$ 的每一个最大基本阿贝尔 $p$ 子群 $A$ 的图像 ImRes $(A, M_n)$ 的 $/mod p$ 马格里斯同源性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Homology Homotopy and Applications 数学-数学

CiteScore

1.10

自引率

0.00%

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审稿时长

>12 weeks

期刊介绍： Homology, Homotopy and Applications is a refereed journal which publishes high-quality papers in the general area of homotopy theory and algebraic topology, as well as applications of the ideas and results in this area. This means applications in the broadest possible sense, i.e. applications to other parts of mathematics such as number theory and algebraic geometry, as well as to areas outside of mathematics, such as computer science, physics, and statistics. Homotopy theory is also intended to be interpreted broadly, including algebraic K-theory, model categories, homotopy theory of varieties, etc. We particularly encourage innovative papers which point the way toward new applications of the subject.

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